Saturday, February 6, 2021

Number of the day: 27518

Properties of the number 27518:

27518 = 2 × 13759 is semiprime and squarefree.
27518 has 2 distinct prime factors, 4 divisors, 13 antidivisors and 13758 totatives.
27518 has a prime digit sum 23 in base 10.
27518 = 22 + 172 + 1652 is the sum of 3 positive squares.
275182 is the sum of 3 positive squares.
27518 is a proper divisor of 52293 - 1.
27518 is an emirpimes in (at least) the following bases: 3, 4, 5, 6, 9, 14, 20, 21, 24, 25, 27, 31, 36, 38, 40, 41, 42, 43, 45, 46, 47, 48, 51, 53, 55, 57, 62, 65, 67, 70, 71, 74, 75, 83, 84, 85, 86, 90, 91, 92, 96, and 97.
27518 is palindromic in (at least) the following bases: 52, and 61.
27518 in base 51 = ATT and consists of only the digits 'A' and 'T'.
27518 in base 52 = A9A and consists of only the digits '9' and 'A'.
27518 in base 60 = 7cc and consists of only the digits '7' and 'c'.
27518 in base 61 = 7O7 and consists of only the digits '7' and 'O'.

The number 27518 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A114138: Number of (ordered) sequences of coins (each of which has value 1, 2, 5, 10, 20, 50, 100 or 200) which add to n.
A114140: Number of ordered sequences of coins (each of which has value 1, 2, 5, 10 or 20) which add to n.
A326338: Number of simple graphs with vertices {1..n} whose weakly nesting edges are connected.

No comments:

Post a Comment